Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 585, 506, 684 i.e. 1 largest integer that divides all the numbers equally.
GCD of 585, 506, 684 is 1
GCD(585, 506, 684) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 585, 506, 684 is 1
GCD(585, 506, 684) = 1
Given Input numbers are 585, 506, 684
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 585
List of positive integer divisors of 585 that divides 585 without a remainder.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
Divisors of 506
List of positive integer divisors of 506 that divides 506 without a remainder.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 684
List of positive integer divisors of 684 that divides 684 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Greatest Common Divisior
We found the divisors of 585, 506, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 506, 684 is 1.
Therefore, GCD of numbers 585, 506, 684 is 1
Given Input Data is 585, 506, 684
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 585 is 3 x 3 x 5 x 13
Prime Factorization of 506 is 2 x 11 x 23
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(585, 506) = 296010
GCD(585, 506) = ( 585 x 506 ) / 296010
GCD(585, 506) = 296010 / 296010
GCD(585, 506) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 684
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 684) = 684
GCD(1, 684) = ( 1 x 684 ) / 684
GCD(1, 684) = 684 / 684
GCD(1, 684) = 1
GCD of 585, 506, 684 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 585, 506, 684?
GCD of 585, 506, 684 is 1
2. Where do I get the detailed procedure to find GCD of 585, 506, 684?
You can find a detailed procedure to find GCD of 585, 506, 684 on our page.
3. How to find GCD of 585, 506, 684 on a calculator?
You can find the GCD of 585, 506, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.